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# Lecture6 - N x x x 2 1 2 2 1 1 − = − = ∑ = χ 89 15...

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ENU 4612C/5615C Nuclear Radiation Detection and Instrumentation Lecture 6 Counting Statistics and Error Prediction (2)

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Counting Statistics and Error Prediction 3. Application of Statistical Models
3. Applications of Statistical Models Application A: Inspection of a set of data for consistency with a statistical model Application B: Estimation of the precision of a single measurement

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3. Applications of Statistical Models Application A
3. Applications of Statistical Models Application A – Data Distribution vs Predicted Probability Distribution x 1 = 8 x 11 =14 x 2 = 5 x 12 = 8 x 3 =12 x 13 = 8 x 4 =10 x 14 = 3 x 5 =13 x 15 = 9 x 6 = 7 x 16 =12 x 7 = 9 x 17 = 6 x 8 =10 x 18 =10 x 9 = 6 x 19 = 8 x 10 =11 x 20 = 7

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3. Applications of Statistical Models Application A – Data Distribution vs Predicted Probability Distribution Chi-squared Test variance sample the 36 . 7 ) ( 1 1 1 2 2 = = = N i e i x x N s on distributi Poisson assuming variance predicted the 80 . 8 2 = = x σ e N i e i e x s

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Unformatted text preview: N x x x 2 1 2 2 ) 1 ( ) ( 1 − = − = ∑ = χ 89 . 15 80 . 8 36 . 7 ) 1 20 ( 2 = − = 3. Applications of Statistical Models • Application A – Portion of the Chi-Squared Table 66 . 89 . 15 80 . 8 36 . 7 ) 1 20 ( 2 = → = − = p χ 3. Applications of Statistical Models • Application A – Procedure 3. Applications of Statistical Models • Application B 3. Applications of Statistical Models • Application B – Conclusion 3. Applications of Statistical Models • Application B – Further Conclusion if the value of “x” is large 3. Applications of Statistical Models • Application B – Example 3. Applications of Statistical Models • Application to Radioactive decay 3. Applications of Statistical Models 3. Applications of Statistical Models • Summary...
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Lecture6 - N x x x 2 1 2 2 1 1 − = − = ∑ = χ 89 15...

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